Reduction (p.coq-core.8.18.0.doc.coq-core.kernel.Reduction)

Sourceval whd_all : Environ.env -> Constr.constr -> Constr.constr

Sourceval beta_applist : Constr.constr -> Constr.constr list -> Constr.constr

Builds an application node, reducing beta redexes it may produce.

Sourceval beta_appvect : Constr.constr -> Constr.constr array -> Constr.constr

Builds an application node, reducing beta redexes it may produce.

Sourceval beta_app : Constr.constr -> Constr.constr -> Constr.constr

Builds an application node, reducing beta redexe it may produce.

val hnf_prod_applist : 
  Environ.env ->
  Constr.types ->
  Constr.constr list ->
  Constr.types

Pseudo-reduction rule Prod(x,A,B) a --> Bx\a

Source

val hnf_prod_applist_decls : 
  Environ.env ->
  int ->
  Constr.types ->
  Constr.constr list ->
  Constr.types

In hnf_prod_applist_decls n c args, c is supposed to (whd-)reduce to the form ∀Γ.t with Γ of length n and possibly with let-ins; it returns t with the assumptions of Γ instantiated by args and the local definitions of Γ expanded.

Source

val betazeta_appvect : 
  int ->
  Constr.constr ->
  Constr.constr array ->
  Constr.constr

Compatibility alias for Term.lambda_appvect_decls

Source

val hnf_decompose_prod : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

Source

val hnf_decompose_prod_decls : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

Source

val hnf_decompose_lambda : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

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val hnf_decompose_lambda_decls : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

Source

val hnf_decompose_lambda_n_decls : 
  Environ.env ->
  int ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

Sourceexception NotArity

Sourceval dest_arity : Environ.env -> Constr.types -> Term.arity

Sourceval is_arity : Environ.env -> Constr.types -> bool

Sourceval eta_expand : Environ.env -> Constr.constr -> Constr.types -> Constr.constr

Deprecated

Source

val dest_prod : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

deprecated Use [hnf_decompose_prod] instead.

Source

val dest_prod_assum : 
  Environ.env ->
  Constr.types ->
  Constr.rel_context * Constr.types

deprecated Use [hnf_decompose_prod_decls] instead.

Source

val dest_lam : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

deprecated Use [hnf_decompose_lambda] instead.

Source

val dest_lam_assum : 
  Environ.env ->
  Constr.constr ->
  Constr.rel_context * Constr.constr

deprecated Use [hnf_decompose_lambda_decls] instead.